Basel Problem: \(1/1^2 + 1/2^2+ 1/3^2 + 1/4^2+ \cdots = ?\)

Some of the brightest mathematicians, like Newton, Leibniz and (Jacob) Bernoulli, struggled with this simple series.

It was only in \(1734\) that Euler, at the age of \(27\), found that this infinite series converged to \(\pi^2/6\).
\[\displaystyle\dfrac{1}{1^2}+\dfrac{1}{2^2}+\dfrac{1}{3^2}+\cdots=\dfrac{\pi^2}{6}\]

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Born On This Day: 27th.December '1654

Jacob Bernoulli was one of the greatest mathematicians ever born.He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy. He is known for his numerous contributions to calculus, and along with his brother Johann, was one of the founders of the calculus of variations.

For an interesting story of Bernoulli, please look into:https://www.youtube.com/watch?v=O36Q_OrhnsQ

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